本文在已有文献基础上通过分段线性化处理,得到了用方块脉冲函数求解非线性系统的显式递推算法,讨论了其它几种可能的线性化途径,分析了所给算法的收敛性。与文献已有算法相比,本文给出的算法可直接用计算机来求解,便于应用。但收敛性分析表现,截断误差由二阶降为一阶。最后给出了算例,结果是令人满意的。 Based on the existing literature, an explicit recursive algorithm for solving nonlinear systems with block impulse function is obtained by piecewise linearization. Several other possible linearization approaches are discussed. The convergence of the proposed algorithm is analyzed. . Compared with the existing algorithms in the literature, the algorithm given in this paper can be directly used computer to solve, easy to apply. However, the convergence analysis shows that the truncation error is reduced from the second order to the first order. Finally, an example is given and the result is satisfactory.